June 2021 Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions
Yogesh J. Bagul, Barkat A. Bhayo, Ramkrishna M. Dhaigude, Vinay M. Raut
Tbilisi Math. J. 14(2): 207-220 (June 2021). DOI: 10.32513/tmj/19322008134

Abstract

In this paper we establish a new Wilker type and Huygens type inequalities involving the trigonometric and hyperbolic functions. Moreover, in terms of hyperbolic functions, the upper and lower bounds of $\sin(x)/x$ and $\tan(x)/x$ are given.

Citation

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Yogesh J. Bagul. Barkat A. Bhayo. Ramkrishna M. Dhaigude. Vinay M. Raut. "Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions." Tbilisi Math. J. 14 (2) 207 - 220, June 2021. https://doi.org/10.32513/tmj/19322008134

Information

Received: 30 September 2020; Accepted: 15 February 2021; Published: June 2021
First available in Project Euclid: 2 July 2021

MathSciNet: MR4298944
zbMATH: 1496.26015
Digital Object Identifier: 10.32513/tmj/19322008134

Subjects:
Primary: 26A09
Secondary: 26D05 , 26D20 , 33B10

Keywords: Huygens-type inequality , trigonometric-hyperbolic functions , Wilker-type inequality

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 2 • June 2021
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